Search
- https://phys.libretexts.org/Workbench/PH_245_Textbook_V2/12%3A_Static_Equilibrium_and_Elasticity/12.04%3A_Stress_Strain_and_Elastic_Modulus_(Part_1)External forces on an object cause its deformation, which is a change in its size and shape. The strength of the forces that cause deformation is expressed by stress. The extent of deformation under s...External forces on an object cause its deformation, which is a change in its size and shape. The strength of the forces that cause deformation is expressed by stress. The extent of deformation under stress is expressed by strain, which is dimensionless. Tensile (or compressive) stress, which causes elongation (or shortening) of the object or medium and is due to external forces acting along only one direction perpendicular to the cross-section.
- https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Dourmashkin)/26%3A_Elastic_Properties_of_Materials/26.02%3A_Stress_and_Strain_in_Tension_and_CompressionConsider a rod with cross sectional area A and length \(l_{0}\) Two forces of the same magnitude \(F_{\perp}\) are applied perpendicularly at the two ends of the section stretching the rod to a length...Consider a rod with cross sectional area A and length \(l_{0}\) Two forces of the same magnitude \(F_{\perp}\) are applied perpendicularly at the two ends of the section stretching the rod to a length \(l\) (Figure \(\PageIndex{1}\)), where the beam has been stretched by a positive amount \(\delta l=l-l_{0}\). When the material is under compression, the forces on the ends are directed towards each other producing a compressive stress resulting in a compressive strain (Figure \(\PageIndex{2}\)).
- https://phys.libretexts.org/Workbench/PH_245_Textbook_V2/12%3A_Static_Equilibrium_and_Elasticity/12.05%3A_Stress_Strain_and_Elastic_Modulus_(Part_2)Bulk stress causes a change in the volume of an object or medium and is caused by forces acting on the body from all directions, perpendicular to its surface. Compressibility of an object or medium is...Bulk stress causes a change in the volume of an object or medium and is caused by forces acting on the body from all directions, perpendicular to its surface. Compressibility of an object or medium is the reciprocal of its bulk modulus, the elastic modulus in this case. Shear strain is the deformation of an object or medium under shear stress. Shear stress is caused by forces acting along the object’s two parallel surfaces.
- https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019v2/Book%3A_Custom_Physics_textbook_for_JJC/10%3A_Static_Equilibrium_Elasticity_and_Torque/10.04%3A_Stress_Strain_and_Elastic_Modulus_(Part_1)External forces on an object cause its deformation, which is a change in its size and shape. The strength of the forces that cause deformation is expressed by stress. The extent of deformation under s...External forces on an object cause its deformation, which is a change in its size and shape. The strength of the forces that cause deformation is expressed by stress. The extent of deformation under stress is expressed by strain, which is dimensionless. Tensile (or compressive) stress, which causes elongation (or shortening) of the object or medium and is due to external forces acting along only one direction perpendicular to the cross-section.
- https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019v2/Book%3A_Custom_Physics_textbook_for_JJC/10%3A_Static_Equilibrium_Elasticity_and_Torque/10.05%3A_Stress_Strain_and_Elastic_Modulus_(Part_2)Bulk stress causes a change in the volume of an object or medium and is caused by forces acting on the body from all directions, perpendicular to its surface. Compressibility of an object or medium is...Bulk stress causes a change in the volume of an object or medium and is caused by forces acting on the body from all directions, perpendicular to its surface. Compressibility of an object or medium is the reciprocal of its bulk modulus, the elastic modulus in this case. Shear strain is the deformation of an object or medium under shear stress. Shear stress is caused by forces acting along the object’s two parallel surfaces.
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/Book%3A_University_Physics_I_-_Mechanics_Sound_Oscillations_and_Waves_(OpenStax)/12%3A_Static_Equilibrium_and_Elasticity/12.04%3A_Stress_Strain_and_Elastic_Modulus_(Part_1)External forces on an object cause its deformation, which is a change in its size and shape. The strength of the forces that cause deformation is expressed by stress. The extent of deformation under s...External forces on an object cause its deformation, which is a change in its size and shape. The strength of the forces that cause deformation is expressed by stress. The extent of deformation under stress is expressed by strain, which is dimensionless. Tensile (or compressive) stress, which causes elongation (or shortening) of the object or medium and is due to external forces acting along only one direction perpendicular to the cross-section.
- https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019/Book%3A_Physics_(Boundless)/09%3A_Static_Equilibrium_Elasticity_and_Torque/9.1%3A_Static_Equilibrium_and_Elasticity/Stress_Strain_and_Elastic_Modulus_(Part_1)External forces on an object cause its deformation, which is a change in its size and shape. The strength of the forces that cause deformation is expressed by stress. The extent of deformation under s...External forces on an object cause its deformation, which is a change in its size and shape. The strength of the forces that cause deformation is expressed by stress. The extent of deformation under stress is expressed by strain, which is dimensionless. Tensile (or compressive) stress, which causes elongation (or shortening) of the object or medium and is due to external forces acting along only one direction perpendicular to the cross-section.
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/Book%3A_University_Physics_I_-_Mechanics_Sound_Oscillations_and_Waves_(OpenStax)/12%3A_Static_Equilibrium_and_Elasticity/12.05%3A_Stress_Strain_and_Elastic_Modulus_(Part_2)Bulk stress causes a change in the volume of an object or medium and is caused by forces acting on the body from all directions, perpendicular to its surface. Compressibility of an object or medium is...Bulk stress causes a change in the volume of an object or medium and is caused by forces acting on the body from all directions, perpendicular to its surface. Compressibility of an object or medium is the reciprocal of its bulk modulus, the elastic modulus in this case. Shear strain is the deformation of an object or medium under shear stress. Shear stress is caused by forces acting along the object’s two parallel surfaces.
- https://phys.libretexts.org/Courses/Joliet_Junior_College/Physics_201_-_Fall_2019/Book%3A_Physics_(Boundless)/09%3A_Static_Equilibrium_Elasticity_and_Torque/9.1%3A_Static_Equilibrium_and_Elasticity/Stress_Strain_and_Elastic_Modulus_(Part_2)Bulk stress causes a change in the volume of an object or medium and is caused by forces acting on the body from all directions, perpendicular to its surface. Compressibility of an object or medium is...Bulk stress causes a change in the volume of an object or medium and is caused by forces acting on the body from all directions, perpendicular to its surface. Compressibility of an object or medium is the reciprocal of its bulk modulus, the elastic modulus in this case. Shear strain is the deformation of an object or medium under shear stress. Shear stress is caused by forces acting along the object’s two parallel surfaces.
- https://phys.libretexts.org/Courses/Prince_Georges_Community_College/General_Physics_I%3A_Classical_Mechanics/50%3A_Elasticity/50.01%3A_Introduction_to_Elasticitywhere \(\sigma\) is the stress, \(\varepsilon\) is the strain, and \(E\) is the elastic modulus, which takes the place of the spring constant in Hooke's law. In Eq. \(\PageIndex{1}\), the stress \(\si...where \(\sigma\) is the stress, \(\varepsilon\) is the strain, and \(E\) is the elastic modulus, which takes the place of the spring constant in Hooke's law. In Eq. \(\PageIndex{1}\), the stress \(\sigma\) and elastic modulus \(E\) both have units of \(\mathrm{N} / \mathrm{m}^{2}\); the strain \(\varepsilon\) is dimensionless. In all cases, the stress \(\sigma\) is defined as the force \(F\) applied to the body, divided by the area \(A\) over which the force acts:
